Special Parallelograms Quiz - CBSE Class 8 Mathematics

Free practice quiz: Special Parallelograms (CBSE Class 8 Mathematics). 18 multiple-choice questions with answers and explanations. Play online, no sign-up needed.

Sample questions

1. Which of the following is NOT a property of a rectangle?

   1. Opposite sides are equal and parallel
   2. All angles are right angles
   3. Diagonals bisect each other
   4. All sides are equal
   Show answer

   Answer: D. All sides are equal

   Rectangles have opposite sides equal and parallel, all angles are 90 degrees, and diagonals bisect each other. However, only squares have all sides equal.

2. If the diagonals of a parallelogram are equal and bisect each other at right angles, what type of parallelogram is it?

   1. Rhombus
   2. Rectangle
   3. Square
   4. Trapezium
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   Answer: C. Square

   Equal diagonals that bisect each other at right angles are properties of a square. A rectangle has equal diagonals but they don't bisect at right angles. A rhombus has perpendicular bisecting diagonals but they are not equal.

3. Prove that the diagonals of a rhombus bisect each other.

   1. This is only true for squares, not rhombuses.
   2. This is a property of all parallelograms, including rhombuses.
   3. This is only true for rectangles, not rhombuses.
   4. This statement is not generally true.
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   Answer: B. This is a property of all parallelograms, including rhombuses.

   All parallelograms have diagonals that bisect each other. Since a rhombus is a type of parallelogram, this property holds true.

4. If the diagonals of a quadrilateral bisect each other at right angles, what can be said about the quadrilateral?

   1. It is a parallelogram
   2. It is a rectangle
   3. It is a rhombus
   4. It is either a rhombus or a square
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   Answer: D. It is either a rhombus or a square

   While it is a parallelogram, the right angle condition narrows it down to either a rhombus or a square.

5. A quadrilateral ABCD has AB || CD and AB = CD. What additional condition would ensure ABCD is a parallelogram?

   1. AD = BC
   2. ∠A = ∠C
   3. ∠A + ∠B = 180°
   4. All of the above
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   Answer: D. All of the above

   Each condition individually ensures that ABCD is a parallelogram.

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